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Finding the Fourth Proportional to 338,059.78, 506,342.21 and 231,190.47

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Solution

The fourth proportional to 338,059.78, 506,342.21 and 231,190.47 is: 346,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,059.78 : 506,342.21 = 231,190.47 : x
  2. Step 2: Convert to fraction form
    338,059.78/506,342.21 = 231,190.47/x
  3. Step 3: Cross multiply
    338,059.78x = 506,342.21 × 231,190.47
  4. Step 4: Simplify right side
    338,059.78x = 117,061,492,354.79
  5. Step 5: Solve for x
    x = 117,061,492,354.79/338,059.78
  6. Step 6: Final answer
    x = 346,274.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.